A new formulation of stochastic mechanics

Michele Pavon

doi:10.1016/0375-9601(95)00847-4

A new formulation of stochastic mechanics

Michele Pavon

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Continuing our research [J. Math. Phys. 36 (1995) 3804], we show that the introduction of complex-valued velocities and momenta allows us to develop a form of stochastic mechanics quite similar to classical mechanics. In particular, we derive a stochastic counterpart of Hamilton's canonical equations and provide a simple interpretation for the uncertainty principle.

Original language	English (US)
Pages (from-to)	143-149
Number of pages	7
Journal	Physics Letters A
Volume	209
Issue number	3-4
DOIs	https://doi.org/10.1016/0375-9601(95)00847-4
State	Published - Dec 18 1995

Keywords

Canonical equations
Hamilton-Jacobi fluid
Momentum process
Phase-space distribution
Stochastic mechanics
Uncertainty principle

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/0375-9601(95)00847-4

Cite this

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title = "A new formulation of stochastic mechanics",

abstract = "Continuing our research [J. Math. Phys. 36 (1995) 3804], we show that the introduction of complex-valued velocities and momenta allows us to develop a form of stochastic mechanics quite similar to classical mechanics. In particular, we derive a stochastic counterpart of Hamilton's canonical equations and provide a simple interpretation for the uncertainty principle.",

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AB - Continuing our research [J. Math. Phys. 36 (1995) 3804], we show that the introduction of complex-valued velocities and momenta allows us to develop a form of stochastic mechanics quite similar to classical mechanics. In particular, we derive a stochastic counterpart of Hamilton's canonical equations and provide a simple interpretation for the uncertainty principle.

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KW - Hamilton-Jacobi fluid

KW - Momentum process

KW - Phase-space distribution

KW - Stochastic mechanics

KW - Uncertainty principle

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A new formulation of stochastic mechanics

Abstract

Keywords

ASJC Scopus subject areas

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